Antenna array weight vector selection techniques for 60 GHz MIMO communications

ABSTRACT

Various embodiments may be generally directed to antenna array weight vector selection techniques for 60 GHz multiple-input multiple-output (MIMO) communications. In some embodiments, using one or more such techniques, a 60 GHz-capable transmitting device may select respective antenna array weight vectors for two or more transmit antenna arrays, and a 60 GHz-capable receiving device may select respective antenna array weight vectors for two or more receive antenna arrays. In various embodiments, in order to obtain information for use in selecting such antenna array weight vectors, the transmitter and receiver may utilize one or more existing beamforming training algorithms defined for 60 GHz single-input single-output (SISO) communications. In some embodiments, for example, the transmitter and receiver may utilize one or more beamforming training algorithms defined in IEEE 802.11ad-2012. The embodiments are not limited in this context.

RELATED CASE

This application claims priority to U.S. Provisional Patent ApplicationNo. 62/200,021, filed Aug. 1, 2015, the entirety of which is herebyincorporated by reference.

TECHNICAL FIELD

Embodiments described herein generally relate to wireless communicationsbetween devices in wireless networks.

BACKGROUND

The 60 GHz wireless communication frequency band offers substantialpromise for use in accommodating the ever-growing data-rate demands ofwireless communications devices and their users. The 60 GHz bandcontains a large amount of available bandwidth, the physical propertiesof signals with frequencies in the 60 GHz band render them well-suitedfor use in directional transmission and reception in conjunction withthe application of spatial multiplexing techniques. 60 GHz-capabledevices may perform directional transmission and reception using antennaarrays, such as steerable phased antenna arrays. In a simple example, a60 GHz-capable transmitter may transmit signals using one transmitantenna array, and a 60 GHz-capable receiver may receive those signalsusing one receive antenna array. In order to optimize the quality withwhich the 60 GHz-capable receiver is able to receive the signals fromthe 60 GHz-capable transmitter, the two devices may engage in abeamforming training procedure. Using the beamforming trainingprocedure, the 60 GHz-capable transmitter may identify an optimalantenna array weight vector (AWV) for its transmit antenna array, andthe 60 GHz-capable receiver may identify an optimal AWV for its receiveantenna array.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 illustrates an embodiment of a first operating environment.

FIG. 2 illustrates an embodiment of a second operating environment.

FIG. 3 illustrates an embodiment of a third operating environment.

FIG. 4 illustrates an embodiment of a first logic flow.

FIG. 5 illustrates an embodiment of a second logic flow.

FIG. 6 illustrates an embodiment of a storage medium.

FIG. 7 illustrates an embodiment of a device.

FIG. 8 illustrates an embodiment of a wireless network.

DETAILED DESCRIPTION

Various embodiments may be generally directed to antenna array weightvector selection techniques for 60 GHz multiple-input multiple-output(MIMO) communications. In some embodiments, using one or more suchtechniques, a 60 GHz-capable transmitting device may select respectiveantenna array weight vectors for two or more transmit antenna arrays,and a 60 GHz-capable receiving device may select respective antennaarray weight vectors for two or more receive antenna arrays. In variousembodiments, in order to obtain information for use in selecting suchantenna array weight vectors, the transmitter and receiver may utilizeone or more existing beamforming training algorithms defined for 60 GHzsingle-input single-output (SISO) communications. In some embodiments,for example, the transmitter and receiver may utilize one or morebeamforming training algorithms defined in IEEE 802.11ad-2012. Theembodiments are not limited in this context.

Various embodiments may comprise one or more elements. An element maycomprise any structure arranged to perform certain operations. Eachelement may be implemented as hardware, software, or any combinationthereof, as desired for a given set of design parameters or performanceconstraints. Although an embodiment may be described with a limitednumber of elements in a certain topology by way of example, theembodiment may include more or less elements in alternate topologies asdesired for a given implementation. It is worthy to note that anyreference to “one embodiment” or “an embodiment” means that a particularfeature, structure, or characteristic described in connection with theembodiment is included in at least one embodiment. The appearances ofthe phrases “in one embodiment,” “in some embodiments,” and “in variousembodiments” in various places in the specification are not necessarilyall referring to the same embodiment.

Various embodiments herein are generally directed to wirelesscommunications systems. Some embodiments are particularly directed towireless communications over 60 GHz frequencies. Various suchembodiments may involve wireless communications performed according toone or more standards for 60 GHz wireless communications. For example,some embodiments may involve wireless communications performed accordingto one or more Wireless Gigabit Alliance (“WiGig”)/Institute ofElectrical and Electronics Engineers (IEEE) 802.11ad standards, such asIEEE 802.11ad-2012, including their predecessors, revisions, progeny,and/or variants. Various embodiments may involve wireless communicationsperformed according to one or more “next-generation”60 GHz (“NG60”)wireless local area network (WLAN) communications standards, such as theIEEE 802.11ay standard that is currently under development. Someembodiments may involve wireless communications performed according toone or more millimeter-wave (mmWave) wireless communication standards.It is worthy of note that the term “60 GHz,” as it is employed inreference to various wireless communications devices, wirelesscommunications frequencies, and wireless communications standardsherein, is not intended to specifically denote a frequency of exactly 60GHz, but rather is intended to generally refer to frequencies in, ornear, the 57 GHz to 64 GHz frequency band or any nearby unlicensed band.The embodiments are not limited in this context.

Various embodiments may additionally or alternatively involve wirelesscommunications according to one or more other wireless communicationstandards. Some embodiments may involve wireless communicationsperformed according to one or more broadband wireless communicationstandards. For example, various embodiments may involve wirelesscommunications performed according to one or more 3rd GenerationPartnership Project (3GPP), 3GPP Long Term Evolution (LTE), and/or 3GPPLTE-Advanced (LTE-A) technologies and/or standards, including theirpredecessors, revisions, progeny, and/or variants. Additional examplesof broadband wireless communication technologies/standards that may beutilized in some embodiments may include without limitation GlobalSystem for Mobile Communications (GSM)/Enhanced Data Rates for GSMEvolution (EDGE), Universal Mobile Telecommunications System (UMTS)/HighSpeed Packet Access (HSPA), and/or GSM with General Packet Radio Service(GPRS) system (GSM/GPRS), IEEE 802.16 wireless broadband standards suchas IEEE 802.16m and/or IEEE 802.16p, International MobileTelecommunications Advanced (IMT-ADV), Worldwide Interoperability forMicrowave Access (WiMAX) and/or WiMAX II, Code Division Multiple Access(CDMA) 2000 (e.g., CDMA2000 1×RTT, CDMA2000 EV-DO, CDMA EV-DV, and soforth), High Performance Radio Metropolitan Area Network (HIPERMAN),Wireless Broadband (WiBro), High Speed Downlink Packet Access (HSDPA),High Speed Orthogonal Frequency-Division Multiplexing (OFDM) PacketAccess (HSOPA), High-Speed Uplink Packet Access (HSUPA) technologiesand/or standards, including their predecessors, revisions, progeny,and/or variants.

Further examples of wireless communications technologies and/orstandards that may be used in various embodiments may include—withoutlimitation—other IEEE wireless communication standards such as the IEEE802.11, IEEE 802.11a, IEEE 802.11b, IEEE 802.11g, IEEE 802.11n, IEEE802.11u, IEEE 802.11ac, IEEE 802.11af, and/or IEEE 802.11ah standards,High-Efficiency Wi-Fi standards developed by the IEEE 802.11 HighEfficiency WLAN (HEW) Study Group and/or IEEE 802.11 Task Group (TG) ax,Wi-Fi Alliance (WFA) wireless communication standards such as Wi-Fi,Wi-Fi Direct, Wi-Fi Direct Services, WiGig Display Extension (WDE),WiGig Bus Extension (WBE), WiGig Serial Extension (WSE) standards and/orstandards developed by the WFA Neighbor Awareness Networking (NAN) TaskGroup, machine-type communications (MTC) standards such as thoseembodied in 3GPP Technical Report (TR) 23.887, 3GPP TechnicalSpecification (TS) 22.368, and/or 3GPP TS 23.682, and/or near-fieldcommunication (NFC) standards such as standards developed by the NFCForum, including any predecessors, revisions, progeny, and/or variantsof any of the above. The embodiments are not limited to these examples.

FIG. 1 illustrates an example of an operating environment 100, in whicha 60 GHz-capable device 102 may communicate with a 60 GHz-capable device104. In some embodiments, 60 GHz-capable devices 102 and 104 maycomprise wireless communication devices in a wireless network thatutilizes wireless channel frequencies of the 60 GHz band. In variousembodiments, 60 GHz-capable devices 102 and 104 may communicate witheach other according to one or more standards for 60 GHz wirelesscommunications. For example, in some embodiments, 60 GHz-capable devices102 and 104 may communicate with each other according to one or moreprotocols and/or procedures defined in IEEE 802.11ad-2012, and/or itspredecessors, revisions, progeny, and/or variants. In various suchembodiments, 60 GHz-capable devices 102 and 104 may comprise 60GHz-capable stations (STAs) such as Directional Multi-Gigabit (DMG)stations (STAs). In some such embodiments, one of 60 GHz-capable devices102 and 104 may operate as a personal basic service set (PBSS) controlpoint/access point (PCP/AP). In some embodiments, 60 GHz-capable devices102 and 104 may communicate with each other according to one or moreprotocols and/or procedures that may be defined in the IEEE 802.11aystandard that is currently under development. The embodiments are notlimited to these examples.

In operating environment 100, 60 GHz-capable device 102 comprises anantenna array 106, and 60 GHz-capable device 104 comprises an antennaarray 108. In various embodiments, antenna arrays 106 and 108 maycomprise steerable phased antenna arrays. In some embodiments, 60GHz-capable device 102 may send data to 60 GHz-capable device 104 via asingle-input single-output (SISO) link 110. In various embodiments,sending data over SISO link 110 may involve transmission over a channel112 between antenna array 106 and antenna array 108. In someembodiments, in order to transmit over channel 112, 60 GHz-capabledevice 102 may transmit signals using antenna array 106. In variousembodiments, in order to receive over channel 112, 60 GHz-capable device104 may receive those signals using antenna array 108. In someembodiments, in order to optimize the quality with which 60 GHz-capabledevice 104 is able to receive from 60 GHz-capable device 102 overchannel 112 (and thus over SISO link 110), 60 GHz-capable devices 102and 104 may engage in a beamforming training procedure. In variousembodiments, using the beamforming training procedure, 60 GHz-capabledevice 102 may identify an optimal AWV for use in transmission fromantenna array 106, and 60 GHz-capable device 104 may identify an optimalAWV for use in reception by antenna array 108. In some embodiments, thebeamforming training procedure may involve the use of one or more IEEE802.11ad beamforming training algorithms, such as transmit sector sweeps(TXSSs), receive sector sweeps (RXSSs), and/or beam refinement phases(BRPs). The embodiments are not limited to these examples.

FIG. 2 illustrates an example of an operating environment 200 that maybe representative of various embodiments. In operating environment 200,60 GHz-capable device 102 comprises antenna arrays 216-1 and 216-2, and60 GHz-capable device 104 comprises antenna arrays 218-1 and 218-2, someor all of which may comprise steerable phased antenna arrays. In someembodiments, one or more of antenna arrays 216-1, 216-2, 218-1, and218-2 may possess gain control features. In various embodiments, thepresence of multiple antenna arrays at both 60 GHz-capable device 102and 60 GHz-capable device 104 may enable 60 GHz-capable device 102 tosend data to 60 GHz-capable device 104 via a multiple-inputmultiple-output (MIMO) link 220. In some embodiments, sending data overMIMO link 220 may involve transmission over multiple channels, eachcorresponding to a different transmit (TX) antenna array/receive (RX)antenna array pair. In operating environment 200, sending data from 60GHz-capable device 102 to 60 GHz-capable device 104 over MIMO link 220may involve transmissions over a channel 222-1 from antenna array 216-1to antenna array 218-1, a channel 222-2 from antenna array 216-1 toantenna array 218-2, a channel 222-3 from antenna array 216-2 to antennaarray 218-1, and a channel 222-4 from antenna array 216-2 to antennaarray 218-2.

In various embodiments, in order to obtain information based on which toconfigure their antenna arrays for communication over MIMO link 220, 60GHz-capable devices 102 and 104 may engage in one or more beamformingtraining procedures. In some embodiments, each such beamforming trainingprocedure may involve the use of one or more IEEE 802.11ad beamformingtraining algorithms, such as TXSSs, RXSSs, and/or BRPs. In variousembodiments, through the use of the one or more beamforming trainingprocedures, 60 GHz-capable devices 102 and 104 may calculate bestrespective transmit and receive AWVs for each of channels 222-1, 222-2,222-3, and 222-4. In some such embodiments, the best transmit andreceive AWVs may be determined via performance of a TXSS for each TXantenna array and an RXSS for each RX antenna array. In variousembodiments, orthogonal training sequences may be used to enableconcurrent training of all four of channels 222-1, 222-2, 222-3, and222-4 during a BRP. In some such embodiments, modified BRP frames may beutilized that feature a modified feedback format that allows concurrentresponses to multiple TX training sequences. The embodiments are notlimited in this context.

In the interest of clarity, the following notations shall be employedhereinafter in reference to the various elements of operatingenvironment 200 and the discussion thereof:

N_(T1) and N_(T2) denote respective numbers of antenna elementscomprised in antenna arrays 216-1 and 216-2 at 60 GHz-capable device102.

N_(R1) and N_(R2) denote respective numbers of antenna elementscomprised in antenna arrays 218-1 and 218-2 at 60 GHz-capable device104.

H₁₁, H₁₂, H₂₁, and H₂₂ denote channels 222-1, 222-2, 222-3, and 222-4,respectively.

v₁₁ and v₁₂ denote calculated best transmit AWVs with respect totransmissions by antenna array 216-1 over H₁₁ and H₁₂, respectively.

v₂₁ and v₂₂ denote calculated best transmit AWVs with respect totransmissions by antenna array 216-2 over H₂₁ and H₂₂, respectively.

w₁₁ and w₂₁ denote calculated best receive AWVs with respect toreception by antenna array 218-1 of transmissions over H₁₁ and H₂₁,respectively.

w₁₂ and w₂₂ denote calculated best receive AWVs with respect toreception by antenna array 218-2 of transmissions over H₁₂ and H₂₂,respectively.

(v₁, v₂) represents an AWV pair comprising the actual AWVs v₁ and v₂that 60 GHz-capable device 102 applies at antenna arrays 216-1 and216-2, respectively, in conjunction with transmission to 60 GHz-capabledevice 104 over MIMO link 220.

(w₁, w₂) represents an AWV pair comprising the actual AWVs w₁ and w₂that 60 GHz-capable device 104 applies at antenna arrays 218-1 and218-2, respectively, in conjunction with reception from 60 GHz-capabledevice 102 over MIMO link 220.

In operating environment 200, channels H₁₁, H₁₂, H₂₁, and H₂₂ maycomprise tensor channels, where for each time tap n, the elementH_(ij)(k,l,n) represents the n^(th) tap of the channel H_(ij) betweenthe l^(th) antenna element at the transmitter and the k^(th) antennaelement at the receiver. The tensor channel may not be known at thetransmitter or the receiver, but it may be possible to measure it usinga packet with N_(T) _(max) ×N_(R) _(max) TRN fields, where N_(T) _(max)=max(N_(T1), N_(T2)) and N_(R) _(max) =max(N_(R1), N_(R2)).

In various embodiments, after identifying v₁₁, v₁₂, v₂₁, v₂₂, w₁₁, w₂₁,w₁₂, and w₂₂, 60 GHz-capable devices 102 and 104 may use thoseparameters to select (v₁, v₂) and (w₁, w₂). According to one technique,60 GHz-capable device 102 may select (v₁, v₂) from among (v₁₁, v₂₂) and(v₁₂, v₂₁), and 60 GHz-capable device 104 may select (w₁, w₂) from among(w₁₁, w₂₂) and (w₂₁, w₁₂) In some embodiments, 60 GHz-capable devices102 and 104 may perform these selections based on a comparison of thelink quality yielded by the use of (v₁₁, v₂₂, w₁₁, w₂₂) with the linkquality yielded by the use of (v₁₂, v₂₁, w₂₁, w₁₂). If (v₁₁, v₂₂, w₁₁,w₂₂) yields better performance, 60 GHz-capable device 102 may select(v₁, v₂) as (v₁₁, v₂₂), and 60 GHz-capable device 104 may select (w₁,w₂) as (w₁₁, w₂₂). If (v₁₂, v₂₁, w₂₁, w₁₂) yields better performance, 60GHz-capable device 102 may select (v₁, v₂) as (v₁₂, v₂₁), and 60GHz-capable device 104 may select (w₁, w₂) as (w₂₁, w₁₁₂). Theembodiments are not limited in this context.

According to a second technique, 60 GHz-capable devices 102 and 104 mayselect an AWV pair and then optimize channel capacity based on nullinginterference from other transmissions. In various embodiments, fromamong the pairs (v₁₁, v₁₂), (v₂₁, v₂₂), (w₁₁, w₂₁), and (w₁₂, w₂₂), apair may be found for which the inner product |u₁ ^(H)u₂| is minimal.The value of α may then be incremented from 0 to 1—in steps of 0.1, forexample—and for each step, a putative AWV u₀ may be calculated accordingto Equation 1 as follows:

$\begin{matrix}{u_{0} = {u_{1} - {\alpha\frac{u_{1}^{H}u_{2}}{u_{2}^{H}u_{2}}u_{2}}}} & (1)\end{matrix}$

Channel capacity may then be calculated using (v₁₁, v₂₂, w₁₁, w₂₂), withu₀ replacing v₁₁, v₂₂, w₁₁, or w₂₂ depending on the selected pair. Thecapacity at each stage may be calculated according to Equations (2)-(4)as follows:

$\begin{matrix}{H_{ij} = {w_{ij}v_{ij}^{H}}} & (2) \\{H = \begin{pmatrix}{w_{1}^{H}H_{11}v_{1}} & {w_{1}^{H}H_{21}v_{2}} \\{w_{2}^{H}H_{12}v_{1}} & {w_{2}^{H}H_{22}v_{2}}\end{pmatrix}} & (3) \\{{capacity} = {\log\;{\det\left( {I + {{SNR} \times H^{H}H}} \right)}}} & (4)\end{matrix}$

Other optimization criteria are also possible, such as minimization oftrace((H^(H)H)⁻¹), the minimum of the total SC zero forcing mean squareerror (MSE), or minimization of max(diag((H^(H)H)⁻¹)), minimization ofthe worst stream MSE. The embodiments are not limited to these examples.

According to a third technique, an iterative algorithm may be used thatis based on iteratively maximizing the capacity of a flat fading channelbased on the best channel from the selected set of AWVs. Using BRP-basedbeamforming between each TX and RX antenna array, the transmitter andreceiver may identify receive antenna weights w_(R11), w_(R12), w_(R21),and w_(R22) and transmit antenna weights w_(T11), w_(T12), w_(T21) andw_(T22) for the respective channels H₁₁, H₁₂, H₂₁, and H₂₂. This may beequivalent to an assumption that all of the channels are flat and rankone, such that H_(ij)=w_(Rij)w_(Tij). Four AWVs can be modified—w_(T1)and w_(T2) at the transmitter, and w_(R1) and w_(R2) at the receiver. AMIMO matrix may be generated by applying these weights to the transmitand receive sides, according to Equation (5) as follows:

$\begin{matrix}{H = \begin{pmatrix}{w_{R\; 1}^{H}H_{11}w_{T\; 1}} & {w_{R\; 1}^{H}H_{21}w_{T\; 2}} \\{w_{R\; 2}^{H}H_{12}w_{T\; 1}} & {w_{R\; 2}^{H}H_{22}w_{T\; 2}}\end{pmatrix}} & (5)\end{matrix}$

Channel capacity is given by equation (6) as follows:capacity=log det(I+(HH ^(H))×SNR)  (6)

If SNR is relatively high, an assumption may be made in view of Equation(6) that channel capacity will be substantially maximized whendet(HH^(H)) is maximized. It is worthy of note that det(HH^(H))=det(H)det(H^(H))=|det(H)|². det(H) may be calculated according to Equation (7)as follows:det(H)=w _(R1) ^(H) H ₁₁ w _(T1) w _(R2) ^(H) H ₂₂ w _(T2) −w _(R2) ^(H)H ₁₂ w _(T1) w _(R1) ^(H) H ₂₁ w _(T2)  (7)

Using the identity u^(H)Av=(v^(H)A^(H)u)*=v^(T)A^(T)u*, Equation (7) maybe used to obtain Equations (8) and (9) as follows:det(H)=w _(R1) ^(H) H ₁₁ w _(T1) w _(T2) ^(T) H ₂₂ ^(T) w _(R2) *−w_(R1) ^(H) H ₂₁ w _(T2) w _(T1) ^(T) H ₁₂ ^(T) w _(R2)*  (8)det(H)=w _(T1) ^(T) H ₁₁ ^(T) w _(R1) *w _(R2) ^(H) H ₂₂ w _(T2) −w_(T1) ^(T) H ₁₂ ^(T) w _(R2) *w _(R1) ^(H) H ₂₁ w _(T2)  (9)

This suggests an iterative solution maximizing w_(R1) ^(H)Aw_(R2)* andthen maximizing w_(T1) ^(T)Bw_(T2), where A and B may be definedaccording to Equations (10) and (11) as follows:A=H ₁₁ w _(T1) w _(T2) ^(T) H ₂₂ ^(T) −H ₂₁ w _(T2) w _(T1) ^(T) H ₁₂^(T)  (10)B=H ₁₁ ^(T) w _(R1) *w _(R2) ^(H) H ₂₂ −H ₁₂ ^(T) w _(R2) *w _(R1) ^(H)H ₂₁  (11)

Equations (10) and (11) may be rewritten as Equations (12) and (13) asfollows:A=w _(R11) w _(T11) ^(H) w _(T1) w _(T2) ^(T) w _(T22) *w _(R22) ^(T) −w_(R12) w _(T12) ^(H) w _(T2) w _(T1) ^(T) w _(T2) *w _(R22) ^(T)  (12)B=w _(T11) *w _(R11) ^(T) w _(R1) *w _(R2) ^(H) w _(R2) w _(T22) ^(H) −w_(T21) *w _(R21) ^(T) w _(R2) *w _(R1) ^(H) w _(R12) w _(T12) ^(H)  (13)

Each iteration of w_(R1) ^(H)Aw_(R2)* and w_(T1) ^(T)Bw_(T2) can beperformed using singular value decomposition (SVD), although othertechniques may be utilized. The embodiments are not limited in thiscontext.

FIG. 3 illustrates an example of an operating environment 300 that maybe representative of the implementation of one or more of the disclosedantenna array weight vector selection techniques according to variousembodiments. In operating environment 300, a wireless communicationdevice 302 transmits data packets 330 to a wireless communication device304. In some embodiments, wireless communication devices 302 and 304 maybe the same as—or similar to —60 GHz-capable devices 102 and 104 ofFIGS. 1 and 2. In various embodiments, wireless communication device 302may transmit data packets 330 to wireless communication device 304 usingTX antenna arrays 332-1 and 332-2. In some embodiments, TX antennaarrays 332-1 and 332-2 may comprise steerable phased antenna arrays. Invarious embodiments, TX antenna arrays 332-1 and 332-2 may be the sameas—or similar to—antenna arrays 216-1 and 216-2 of FIG. 2. In someembodiments, wireless communication device 302 may comprise a DMG STA.In various embodiments, wireless communication device 302 may operate asa PCP/AP. In some embodiments, wireless communication device 304 mayreceive data packets 330 from wireless communication device 302 using RXantenna arrays 334-1 and 334-2. In various embodiments, RX antennaarrays 334-1 and 334-2 may comprise steerable phased antenna arrays. Insome embodiments, RX antenna arrays 334-1 and 334-2 may be the sameas—or similar to—antenna arrays 218-1 and 218-2 of FIG. 2. In variousembodiments, wireless communication device 304 may comprise a DMG STA.In some embodiments, wireless communication device 304 may operate as aPCP/AP. The embodiments are not limited in this context.

In various embodiments, wireless communication device 302 may transmitdata packets 330 to wireless communication device 304 via a MIMO link350. In some embodiments, wireless communication device 302 may transmitdata packets 330 to wireless communication device 304 via MIMO link 350using a preferred MIMO AWV pair 322. In various embodiments, preferredMIMO AWV pair 322 may comprise MIMO AWVs 324-1 and 324-2 for applicationto respective TX antenna arrays 332-1 and 332-2 in conjunction withtransmission over MIMO link 350. In some embodiments, wirelesscommunication device 304 may receive data packets 330 from wirelesscommunication device 302 via MIMO link using a preferred MIMO AWV pair326. In various embodiments, preferred MIMO AWV pair 326 may compriseMIMO AWVs 328-1 and 328-2 for application to respective RX antennaarrays 334-1 and 334-2 in conjunction with reception via MIMO link 350.In some embodiments, MIMO link 350 may comprise a 60 GHz frequency bandMIMO link. The embodiments are not limited in this context.

In various embodiments, wireless communication device 302 may determinepreferred MIMO AWV pair 322 according to a MIMO AWV selection procedure.In some embodiments, according to the MIMO AWV selection procedure,wireless communication device 302 may select MIMO AWVs 324-1 and 324-2based on a preferred SISO AWV set 306. In various embodiments, each AWVin preferred SISO AWV set 306 may generally comprise a preferred AWV fora given TX antenna array of wireless communication device 302 withrespect to SISO transmission by that TX antenna array to a given RXantenna array of wireless communication device 304. In some embodiments,preferred SISO AWV set 306 may comprise preferred SISO AWVs 308-1 and308-2. In various embodiments, preferred SISO AWVs 308-1 and 308-2 maycomprise preferred AWVs for TX antenna array 332-1 with respect to SISOtransmission by TX antenna array 332-1 to RX antenna arrays 334-1 and334-2, respectively, at wireless communication device 304. In someembodiments, preferred SISO AWV set 306 may comprise preferred SISO AWVs310-1 and 310-2. In various embodiments, preferred SISO AWVs 310-1 and310-2 may comprise preferred AWVs for TX antenna array 332-2 withrespect to SISO transmission by TX antenna array 332-2 to RX antennaarrays 334-1 and 334-2, respectively, at wireless communication device304. The embodiments are not limited in this context.

In some embodiments, wireless communication device 304 may determinepreferred MIMO AWV pair 326 according to a MIMO AWV selection procedure.In various embodiments, according to the MIMO AWV selection procedure,wireless communication device 304 may select MIMO AWVs 328-1 and 328-2based on a preferred SISO AWV set 312. In some embodiments, each AWV inpreferred SISO AWV set 312 may generally comprise a preferred AWV for agiven RX antenna array of wireless communication device 304 with respectto SISO reception by that RX antenna array from a given TX antenna arrayof wireless communication device 302. In various embodiments, preferredSISO AWV set 312 may comprise preferred SISO AWVs 314-1 and 314-2. Insome embodiments, preferred SISO AWVs 314-1 and 314-2 may comprisepreferred AWVs for RX antenna array 334-1 with respect to SISO receptionby RX antenna array 334-1 of transmissions of TX antenna arrays 332-1and 332-2, respectively, of wireless communication device 302. Invarious embodiments, preferred SISO AWV set 312 may comprise preferredSISO AWVs 316-1 and 316-2. In some embodiments, preferred SISO AWVs316-1 and 316-2 may comprise preferred AWVs for RX antenna array 334-2with respect to SISO reception by RX antenna array 334-2 oftransmissions of TX antenna arrays 332-1 and 332-2, respectively, ofwireless communication device 302. The embodiments are not limited inthis context.

In various embodiments, wireless communication devices 302 and 304 mayengage in one or more beamforming training procedures in order toidentify respective preferred SISO AWV sets 306 and 312. In someembodiments, in conjunction with the one or more beamforming trainingprocedures, wireless communication device 302 may transmit beamformingtraining packets 318 to wireless communication device 304, and wirelesscommunication device 304 may transmit beamforming training packets 320to wireless communication device 302. In various embodiments, any givenone of such beamforming training procedures may involve the use of oneor more IEEE 802.11ad beamforming training algorithms, protocols, and/orframes. In some embodiments, the one or more beamforming trainingprocedures may include one or more TXSSs. In various embodiments, theone or more beamforming training procedures may include a TXSS of TXantenna array 332-1 and a TXSS of TX antenna array 332-2. In someembodiments, the one or more beamforming training procedures may includeone or more RXSSs. In various embodiments, the one or more beamformingtraining procedures may include an RXSS of RX antenna array 334-1 and anRXSS of RX antenna array 334-2. The embodiments are not limited in thiscontext.

In some embodiments, the one or more beamforming training procedures mayinclude one or more BRPs. In various embodiments, at least one of theone or more BRPs may comprise transmissions of a plurality of orthogonaltraining sequences. For example, during a given BRP in some embodiments,orthogonal respective training sequences may be transmitted concurrentlyby TX antenna arrays 332-1 and 332-2 of wireless communication device302. In various embodiments, at least one of the one or more BRPs maycomprise transmission of a BRP feedback frame that comprises feedbackfor multiple TX training sequences. For example, during a given BRP insome embodiments, orthogonal training sequences transmitted by TXantenna arrays 332-1 and 332-2, respectively, may be receivedconcurrently at both RX antenna array 334-1 and RX antenna array 334-2of wireless communication device 304, and wireless communication device304 may transmit a BRP feedback frame that comprises respective feedbackfor both of the orthogonal training sequences. The embodiments are notlimited to these examples.

In various embodiments, following identification of preferred SISO AWVsets 306 and 312, wireless communication devices 302 and 304 may use aMIMO AWV selection procedure to determine preferred MIMO AWV pairs 322and 326 based on preferred SISO AWV sets 306 and 312. In someembodiments, according to the MIMO AWV selection procedure, wirelesscommunication device 302 may either select preferred SISO AWV 308-1 asMIMO AWV 324-1 and preferred SISO AWV 310-2 as MIMO AWV 324-2 or selectpreferred SISO AWV 308-2 as MIMO AWV 324-1 and preferred SISO AWV 310-1as MIMO AWV 324-2. In various embodiments, according to the MIMO AWVselection procedure, wireless communication device 304 may either selectpreferred SISO AWV 314-1 as MIMO AWV 328-1 and preferred SISO AWV 316-2as MIMO AWV 328-2 or select preferred SISO AWV 314-2 as MIMO AWV 328-1and preferred SISO AWV 316-1 as MIMO AWV 328-2. The embodiments are notlimited in this context.

In some embodiments, the MIMO AWV selection procedure may compriseoptimizing channel capacity for communications between wirelesscommunication devices 302 and 304 according to an interference nullingtechnique. In various such embodiments, according to the MIMO AWVselection procedure, wireless communication device 302 may determine aninner product of preferred SISO AWVs 308-1 and 308-2 and an innerproduct of preferred SISO AWVs 310-1 and 310-2, and wirelesscommunication device 304 may determine an inner product of preferredSISO AWVs 314-1 and 314-2 and an inner product of preferred SISO AWVs316-1 and 316-2. In some embodiments, wireless communication devices 302and 304 may communicate with each other to identify the minimum one ofthese four inner products. In various embodiments, a series of putativeAWVs may then be calculated based on the pair of preferred SISO AWVsassociated with the minimal inner product. In some embodiments, theseries of putative AWVs may be calculated by stepping a value of α from0 to 1 and calculated a respective putative AWV u₀ at each stepaccording to Equation (1) above. In various embodiments, each of theseries of putative AWVs may be evaluated based on a desirabilitycriterion to determine a respective desirability value, and the putativeAWV with the highest associated desirability value may be selected. Insome embodiments, each desirability value may comprise a capacitydetermined according to Equations (2) to (4) above. In various otherembodiments, each desirability value may comprise a value of a total SCzero forcing MSE or a value of a worst stream MSE. The embodiments arenot limited to these examples.

In some embodiments, the MIMO AWV selection procedure may compriseidentifying a preferred channel between wireless communication devices302 and 304 and iteratively maximizing the capacity of a flat fadingchannel based on the preferred channel. In various such embodiments,wireless communication devices 302 and 304 may use BRP-based beamformingto identify preferred SISO AWVs 308-1, 308-2, 310-1, 310-2, 314-1,314-2, 316-1, and 316-2. In some embodiments, the values of preferredSISO AWVs 308-1, 308-2, 310-1, 310-2, 314-1, 314-2, 316-1, and 316-2 maythen be used as the values of w_(T11), w_(T12), w_(T21), w_(T22),w_(R11), w_(R21), w_(R12), and w_(R22) in conjunction with the iterativemaximization of w_(R1) ^(H)Aw_(R2)* and then w_(T1) ^(T)Bw_(T2)according to Equations (5) to (13) above. In various embodiments, eachiteration of the MIMO AWV selection procedure may be performed usingsingular value decomposition. The embodiments are not limited in thiscontext.

Operations for the above embodiments may be further described withreference to the following figures and accompanying examples. Some ofthe figures may include a logic flow. Although such figures presentedherein may include a particular logic flow, it can be appreciated thatthe logic flow merely provides an example of how the generalfunctionality as described herein can be implemented. Further, the givenlogic flow does not necessarily have to be executed in the orderpresented unless otherwise indicated. In addition, the given logic flowmay be implemented by a hardware element, a software element executed bya processor, or any combination thereof. The embodiments are not limitedin this context.

FIG. 4 illustrates an example of a logic flow 400 that may berepresentative of the implementation of one or more of the disclosedantenna array weight vector selection techniques according to variousembodiments. For example, logic flow 400 may be representative ofoperations that may be performed in some embodiments by wirelesscommunication device 302 in operating environment 300 of FIG. 3. Asshown in FIG. 4, a preferred SISO AWV set may be identified at 402 for awireless communication device comprising a first TX antenna array and asecond TX antenna array. For example, in operating environment 300 ofFIG. 3, wireless communication device 302 may comprise TX antenna arrays332-1 and 332-2, and may identify preferred SISO AWV set 306.

At 404, a first MIMO AWV and a second MIMO AWV may be identified basedon the preferred SISO AWV set, according to a MIMO AWV selectionprocedure. For example, in operating environment 300 of FIG. 3, wirelesscommunication device 302 may use a MIMO AWV selection procedure todetermine preferred MIMO AWV pair 322 based on preferred SISO AWV set306, and preferred MIMO AWV pair 322 may comprise MIMO AWVs 324-1 and324-2. At 406, in conjunction with MIMO transmission to a remote device,the first MIMO AWV may be applied to the first TX antenna array and thesecond MIMO AWV may be applied to the second TX antenna array. Forexample, in operating environment 300 of FIG. 3, in conjunction withtransmission of data packets 330 to wireless communication device 304via MIMO link 350, wireless communication device 302 may apply MIMO AWV324-1 to TX antenna array 332-1 and may apply MIMO AWV 324-2 to TXantenna array 332-2. The embodiments are not limited to these examples.

FIG. 5 illustrates an example of a logic flow 500 that may berepresentative of the implementation of one or more of the disclosedantenna array weight vector selection techniques according to variousembodiments. For example, logic flow 500 may be representative ofoperations that may be performed in some embodiments by wirelesscommunication device 304 in operating environment 300 of FIG. 3. Asshown in FIG. 5, a preferred SISO AWV set may be identified at 502 for awireless communication device comprising a first RX antenna array and asecond RX antenna array. For example, in operating environment 300 ofFIG. 3, wireless communication device 304 may comprise RX antenna arrays334-1 and 334-2, and may identify preferred SISO AWV set 312.

At 504, a first MIMO AWV and a second MIMO AWV may be identified basedon the preferred SISO AWV set, according to a MIMO AWV selectionprocedure. For example, in operating environment 300 of FIG. 3, wirelesscommunication device 304 may use a MIMO AWV selection procedure todetermine preferred MIMO AWV pair 326 based on preferred SISO AWV set312, and preferred MIMO AWV pair 326 may comprise MIMO AWVs 328-1 and328-2. At 506, in conjunction with reception of a MIMO transmission froma remote device, the first MIMO AWV may be applied to the first RXantenna array and the second MIMO AWV may be applied to the second RXantenna array. For example, in operating environment 300 of FIG. 3, inconjunction with reception of data packets 330 from wirelesscommunication device 302 via MIMO link 350, wireless communicationdevice 304 may apply MIMO AWV 328-1 to RX antenna array 334-1 and mayapply MIMO AWV 328-2 to RX antenna array 334-2. The embodiments are notlimited to these examples.

In some embodiments, one or more of the disclosed antenna array weightvector selection techniques may be implemented fully or partially insoftware and/or firmware. In various embodiments, such software and/orfirmware may take the form of instructions contained in or on anon-transitory computer-readable storage medium. In some embodiments,such instructions may be read and executed by one or more processors toenable performance of operations described herein. Such instructions maycomprise any suitable form, such as—but not limited to—source code,compiled code, interpreted code, executable code, static code, dynamiccode, and the like. Such a computer-readable medium may include anytangible non-transitory medium for storing information in a formreadable by one or more computers, such as—but not limited to—read onlymemory (ROM), random access memory (RAM), magnetic disk storage media,optical storage media, a flash memory, etc.

FIG. 6 illustrates an embodiment of a storage medium 600. Storage medium600 may comprise any non-transitory computer-readable storage medium ormachine-readable storage medium, such as an optical, magnetic orsemiconductor storage medium. In various embodiments, storage medium 600may comprise an article of manufacture. In some embodiments, storagemedium 600 may store computer-executable instructions, such ascomputer-executable instructions to implement one or both of logic flow400 of FIG. 4 and logic flow 500 of FIG. 5. Examples of acomputer-readable storage medium or machine-readable storage medium mayinclude any tangible media capable of storing electronic data, includingvolatile memory or non-volatile memory, removable or non-removablememory, erasable or non-erasable memory, writeable or re-writeablememory, and so forth. Examples of computer-executable instructions mayinclude any suitable type of code, such as source code, compiled code,interpreted code, executable code, static code, dynamic code,object-oriented code, visual code, and the like. The embodiments are notlimited in this context.

FIG. 7 illustrates an embodiment of a communications device 700 that mayimplement one or more of wireless communication devices 302 and 304 ofFIG. 3, logic flow 400 of FIG. 4, logic flow 500 of FIG. 5, and storagemedium 600 of FIG. 6. In various embodiments, device 700 may comprise alogic circuit 728. The logic circuit 728 may include physical circuitsto perform operations described for one or more of wirelesscommunication devices 302 and 304 of FIG. 3, logic flow 400 of FIG. 4,and logic flow 500 of FIG. 5, for example. As shown in FIG. 7, device700 may include a radio interface 710, baseband circuitry 720, andcomputing platform 730, although the embodiments are not limited to thisconfiguration.

The device 700 may implement some or all of the structure and/oroperations for one or more of wireless communication devices 302 and 304of FIG. 3, logic flow 400 of FIG. 4, logic flow 500 of FIG. 5, storagemedium 600, and logic circuit 728 in a single computing entity, such asentirely within a single device. Alternatively, the device 700 maydistribute portions of the structure and/or operations for one or moreof wireless communication devices 302 and 304 of FIG. 3, logic flow 400of FIG. 4, logic flow 500 of FIG. 5, storage medium 600, and logiccircuit 728 across multiple computing entities using a distributedsystem architecture, such as a client-server architecture, a 3-tierarchitecture, an N-tier architecture, a tightly-coupled or clusteredarchitecture, a peer-to-peer architecture, a master-slave architecture,a shared database architecture, and other types of distributed systems.The embodiments are not limited in this context.

In one embodiment, radio interface 710 may include a component orcombination of components adapted for transmitting and/or receivingsingle-carrier or multi-carrier modulated signals (e.g., includingcomplementary code keying (CCK), orthogonal frequency divisionmultiplexing (OFDM), and/or single-carrier frequency division multipleaccess (SC-FDMA) symbols) although the embodiments are not limited toany specific over-the-air interface or modulation scheme. Radiointerface 710 may include, for example, a receiver 712, a frequencysynthesizer 714, and/or a transmitter 716. Radio interface 710 mayinclude bias controls, a crystal oscillator and/or one or more antennas718-f. In another embodiment, radio interface 710 may use externalvoltage-controlled oscillators (VCOs), surface acoustic wave filters,intermediate frequency (IF) filters and/or RF filters, as desired. Dueto the variety of potential RF interface designs an expansivedescription thereof is omitted.

Baseband circuitry 720 may communicate with radio interface 710 toprocess receive and/or transmit signals and may include, for example, ananalog-to-digital converter 722 for down converting received signals, adigital-to-analog converter 724 for up converting signals fortransmission. Further, baseband circuitry 720 may include a baseband orphysical layer (PHY) processing circuit 726 for PHY link layerprocessing of respective receive/transmit signals. Baseband circuitry720 may include, for example, a medium access control (MAC) processingcircuit 727 for MAC/data link layer processing. Baseband circuitry 720may include a memory controller 732 for communicating with MACprocessing circuit 727 and/or a computing platform 730, for example, viaone or more interfaces 734.

In some embodiments, PHY processing circuit 726 may include a frameconstruction and/or detection module, in combination with additionalcircuitry such as a buffer memory, to construct and/or deconstructcommunication frames. Alternatively or in addition, MAC processingcircuit 727 may share processing for certain of these functions orperform these processes independent of PHY processing circuit 726. Insome embodiments, MAC and PHY processing may be integrated into a singlecircuit.

The computing platform 730 may provide computing functionality for thedevice 700. As shown, the computing platform 730 may include aprocessing component 740. In addition to, or alternatively of, thebaseband circuitry 720, the device 700 may execute processing operationsor logic for one or more of wireless communication devices 302 and 304of FIG. 3, logic flow 400 of FIG. 4, logic flow 500 of FIG. 5, storagemedium 600, and logic circuit 728 using the processing component 740.The processing component 740 (and/or PHY 726 and/or MAC 727) maycomprise various hardware elements, software elements, or a combinationof both. Examples of hardware elements may include devices, logicdevices, components, processors, microprocessors, circuits, processorcircuits, circuit elements (e.g., transistors, resistors, capacitors,inductors, and so forth), integrated circuits, application specificintegrated circuits (ASIC), programmable logic devices (PLD), digitalsignal processors (DSP), field programmable gate array (FPGA), memoryunits, logic gates, registers, semiconductor device, chips, microchips,chip sets, and so forth. Examples of software elements may includesoftware components, programs, applications, computer programs,application programs, system programs, software development programs,machine programs, operating system software, middleware, firmware,software modules, routines, subroutines, functions, methods, procedures,software interfaces, application program interfaces (API), instructionsets, computing code, computer code, code segments, computer codesegments, words, values, symbols, or any combination thereof.Determining whether an embodiment is implemented using hardware elementsand/or software elements may vary in accordance with any number offactors, such as desired computational rate, power levels, heattolerances, processing cycle budget, input data rates, output datarates, memory resources, data bus speeds and other design or performanceconstraints, as desired for a given implementation.

The computing platform 730 may further include other platform components750. Other platform components 750 include common computing elements,such as one or more processors, multi-core processors, co-processors,memory units, chipsets, controllers, peripherals, interfaces,oscillators, timing devices, video cards, audio cards, multimediainput/output (I/O) components (e.g., digital displays), power supplies,and so forth. Examples of memory units may include without limitationvarious types of computer readable and machine readable storage media inthe form of one or more higher speed memory units, such as read-onlymemory (ROM), random-access memory (RAM), dynamic RAM (DRAM),Double-Data-Rate DRAM (DDRAM), synchronous DRAM (SDRAM), static RAM(SRAM), programmable ROM (PROM), erasable programmable ROM (EPROM),electrically erasable programmable ROM (EEPROM), flash memory, polymermemory such as ferroelectric polymer memory, ovonic memory, phase changeor ferroelectric memory, silicon-oxide-nitride-oxide-silicon (SONOS)memory, magnetic or optical cards, an array of devices such as RedundantArray of Independent Disks (RAID) drives, solid state memory devices(e.g., USB memory, solid state drives (SSD) and any other type ofstorage media suitable for storing information.

Device 700 may be, for example, an ultra-mobile device, a mobile device,a fixed device, a machine-to-machine (M2M) device, a personal digitalassistant (PDA), a mobile computing device, a smart phone, a telephone,a digital telephone, a cellular telephone, user equipment, eBookreaders, a handset, a one-way pager, a two-way pager, a messagingdevice, a computer, a personal computer (PC), a desktop computer, alaptop computer, a notebook computer, a netbook computer, a handheldcomputer, a tablet computer, a server, a server array or server farm, aweb server, a network server, an Internet server, a work station, amini-computer, a main frame computer, a supercomputer, a networkappliance, a web appliance, a distributed computing system,multiprocessor systems, processor-based systems, consumer electronics,programmable consumer electronics, game devices, display, television,digital television, set top box, wireless access point, base station,node B, subscriber station, mobile subscriber center, radio networkcontroller, router, hub, gateway, bridge, switch, machine, orcombination thereof. Accordingly, functions and/or specificconfigurations of device 700 described herein, may be included oromitted in various embodiments of device 700, as suitably desired.

Embodiments of device 700 may be implemented using single input singleoutput (SISO) architectures. However, certain implementations mayinclude multiple antennas (e.g., antennas 718-J) for transmission and/orreception using adaptive antenna techniques for beamforming or spatialdivision multiple access (SDMA) and/or using MIMO communicationtechniques.

The components and features of device 700 may be implemented using anycombination of discrete circuitry, application specific integratedcircuits (ASICs), logic gates and/or single chip architectures. Further,the features of device 700 may be implemented using microcontrollers,programmable logic arrays and/or microprocessors or any combination ofthe foregoing where suitably appropriate. It is noted that hardware,firmware and/or software elements may be collectively or individuallyreferred to herein as “logic” or “circuit.”

It should be appreciated that the exemplary device 700 shown in theblock diagram of FIG. 7 may represent one functionally descriptiveexample of many potential implementations. Accordingly, division,omission or inclusion of block functions depicted in the accompanyingfigures does not infer that the hardware components, circuits, softwareand/or elements for implementing these functions would be necessarily bedivided, omitted, or included in embodiments.

FIG. 8 illustrates an embodiment of a wireless network 800. As shown inFIG. 8, wireless network comprises an access point 802 and wirelessstations 804, 806, and 808. In various embodiments, wireless network 800may comprise a wireless local area network (WLAN), such as a WLANimplementing one or more Institute of Electrical and ElectronicsEngineers (IEEE) 802.11 standards (sometimes collectively referred to as“Wi-Fi”). In some other embodiments, wireless network 800 may compriseanother type of wireless network, and/or may implement other wirelesscommunications standards. In various embodiments, for example, wirelessnetwork 800 may comprise a WWAN or WPAN rather than a WLAN. Theembodiments are not limited to this example.

In some embodiments, wireless network 800 may implement one or morebroadband wireless communications standards, such as 3G or 4G standards,including their revisions, progeny, and variants. Examples of 3G or 4Gwireless standards may include without limitation any of the IEEE802.16m and 802.16p standards, 3rd Generation Partnership Project (3GPP)Long Term Evolution (LTE) and LTE-Advanced (LTE-A) standards, andInternational Mobile Telecommunications Advanced (IMT-ADV) standards,including their revisions, progeny and variants. Other suitable examplesmay include, without limitation, Global System for Mobile Communications(GSM)/Enhanced Data Rates for GSM Evolution (EDGE) technologies,Universal Mobile Telecommunications System (UMTS)/High Speed PacketAccess (HSPA) technologies, Worldwide Interoperability for MicrowaveAccess (WiMAX) or the WiMAX II technologies, Code Division MultipleAccess (CDMA) 2000 system technologies (e.g., CDMA2000 1×RTT, CDMA2000EV-DO, CDMA EV-DV, and so forth), High Performance Radio MetropolitanArea Network (HIPERMAN) technologies as defined by the EuropeanTelecommunications Standards Institute (ETSI) Broadband Radio AccessNetworks (BRAN), Wireless Broadband (WiBro) technologies, GSM withGeneral Packet Radio Service (GPRS) system (GSM/GPRS) technologies, HighSpeed Downlink Packet Access (HSDPA) technologies, High Speed OrthogonalFrequency-Division Multiplexing (OFDM) Packet Access (HSOPA)technologies, High-Speed Uplink Packet Access (HSUPA) systemtechnologies, 3GPP Rel. 8-12 of LTE/System Architecture Evolution (SAE),and so forth. The embodiments are not limited in this context.

In various embodiments, wireless stations 804, 806, and 808 maycommunicate with access point 802 in order to obtain connectivity to oneor more external data networks. In some embodiments, for example,wireless stations 804, 806, and 808 may connect to the Internet 812 viaaccess point 802 and access network 810. In various embodiments, accessnetwork 810 may comprise a private network that providessubscription-based Internet-connectivity, such as an Internet ServiceProvider (ISP) network. The embodiments are not limited to this example.

In various embodiments, two or more of wireless stations 804, 806, and808 may communicate with each other directly by exchanging peer-to-peercommunications. For example, in the example of FIG. 8, wireless stations804 and 806 communicate with each other directly by exchangingpeer-to-peer communications 814. In some embodiments, such peer-to-peercommunications may be performed according to one or more Wi-Fi Alliance(WFA) standards. For example, in various embodiments, such peer-to-peercommunications may be performed according to the WFA Wi-Fi Directstandard, 2010 Release. In various embodiments, such peer-to-peercommunications may additionally or alternatively be performed using oneor more interfaces, protocols, and/or standards developed by the WFAWi-Fi Direct Services (WFDS) Task Group. The embodiments are not limitedto these examples.

Various embodiments may be implemented using hardware elements, softwareelements, or a combination of both. Examples of hardware elements mayinclude processors, microprocessors, circuits, circuit elements (e.g.,transistors, resistors, capacitors, inductors, and so forth), integratedcircuits, application specific integrated circuits (ASIC), programmablelogic devices (PLD), digital signal processors (DSP), field programmablegate array (FPGA), logic gates, registers, semiconductor device, chips,microchips, chip sets, and so forth. Examples of software may includesoftware components, programs, applications, computer programs,application programs, system programs, machine programs, operatingsystem software, middleware, firmware, software modules, routines,subroutines, functions, methods, procedures, software interfaces,application program interfaces (API), instruction sets, computing code,computer code, code segments, computer code segments, words, values,symbols, or any combination thereof. Determining whether an embodimentis implemented using hardware elements and/or software elements may varyin accordance with any number of factors, such as desired computationalrate, power levels, heat tolerances, processing cycle budget, input datarates, output data rates, memory resources, data bus speeds and otherdesign or performance constraints.

One or more aspects of at least one embodiment may be implemented byrepresentative instructions stored on a machine-readable medium whichrepresents various logic within the processor, which when read by amachine causes the machine to fabricate logic to perform the techniquesdescribed herein. Such representations, known as “IP cores” may bestored on a tangible, machine readable medium and supplied to variouscustomers or manufacturing facilities to load into the fabricationmachines that actually make the logic or processor. Some embodiments maybe implemented, for example, using a machine-readable medium or articlewhich may store an instruction or a set of instructions that, ifexecuted by a machine, may cause the machine to perform a method and/oroperations in accordance with the embodiments. Such a machine mayinclude, for example, any suitable processing platform, computingplatform, computing device, processing device, computing system,processing system, computer, processor, or the like, and may beimplemented using any suitable combination of hardware and/or software.The machine-readable medium or article may include, for example, anysuitable type of memory unit, memory device, memory article, memorymedium, storage device, storage article, storage medium and/or storageunit, for example, memory, removable or non-removable media, erasable ornon-erasable media, writeable or re-writeable media, digital or analogmedia, hard disk, floppy disk, Compact Disk Read Only Memory (CD-ROM),Compact Disk Recordable (CD-R), Compact Disk Rewriteable (CD-RW),optical disk, magnetic media, magneto-optical media, removable memorycards or disks, various types of Digital Versatile Disk (DVD), a tape, acassette, or the like. The instructions may include any suitable type ofcode, such as source code, compiled code, interpreted code, executablecode, static code, dynamic code, encrypted code, and the like,implemented using any suitable high-level, low-level, object-oriented,visual, compiled and/or interpreted programming language.

Example 1 is an apparatus, comprising a memory, and logic, at least aportion of which is comprised in circuitry coupled to the memory, thelogic to identify a preferred single-input single-output (SISO) antennaarray weight vector (AWV) set for a wireless communication devicecomprising a first transmit (TX) antenna array and a second TX antennaarray, and determine a preferred multiple-input multiple-output (MIMO)AWV pair for the wireless communication device based on the preferredSISO AWV set according to a MIMO AWV selection procedure, the preferredMIMO AWV pair to comprise a first MIMO AWV comprising an AWV forapplication to the first TX antenna array in conjunction with a MIMOtransmission to a remote device and, a second MIMO AWV comprising an AWVfor application to the second TX antenna array in conjunction with theMIMO transmission to the remote device.

Example 2 is the apparatus of Example 1, the preferred SISO AWV set tocomprise a preferred AWV v₁₁ with respect to SISO transmission by thefirst TX antenna array to a first receive (RX) antenna array of theremote device, a preferred AWV v₁₂ with respect to SISO transmission bythe first TX antenna array to a second RX antenna array of the remotedevice, a preferred AWV v₂₁ with respect to SISO transmission by thesecond TX antenna array to the first RX antenna array of the remotedevice, and a preferred AWV v₂₂ with respect to SISO transmission by thesecond TX antenna array to the second RX antenna array of the remotedevice.

Example 3 is the apparatus of Example 2, the MIMO AWV selectionprocedure to comprise selecting v₁₁ as the first MIMO AWV and v₂₂ as thesecond MIMO AWV, or selecting v₁₂ as the first MIMO AWV and v₂₁ as thesecond MIMO AWV.

Example 4 is the apparatus of any of Examples 1 to 2, the MIMO AWVselection procedure to comprise optimizing channel capacity forcommunications between the wireless communication device and the remotedevice according to an interference nulling technique.

Example 5 is the apparatus of any of Examples 1 to 2, the MIMO AWVselection procedure to comprise identifying a preferred channel betweenthe wireless communication device and the remote device, and iterativelymaximizing a capacity of a flat fading channel based on the preferredchannel.

Example 6 is the apparatus of any of Examples 1 to 5, the logic toidentify the preferred SISO AWV set by engaging in one or morebeamforming training procedures.

Example 7 is the apparatus of Example 6, the one or more beamformingtraining procedures to include one or more transmit sector sweeps(TXSSs).

Example 8 is the apparatus of Example 7, the one or more beamformingtraining procedures to include a TXSS of the first TX antenna array anda TXSS of the second TX antenna array.

Example 9 is the apparatus of any of Examples 6 to 8, the one or morebeamforming training procedures to include one or more receive sectorsweeps (RXSSs).

Example 10 is the apparatus of any of Examples 6 to 9, the one or morebeamforming training procedures to include one or more beam refinementphases (BRPs).

Example 11 is the apparatus of Example 10, at least one of the one ormore BRPs to comprise transmissions of a plurality of orthogonaltraining sequences.

Example 12 is the apparatus of any of Examples 10 to 11, at least one ofthe one or more BRPs to comprise transmission of a BRP feedback framecomprising feedback for multiple TX training sequences.

Example 13 is the apparatus of any of Examples 1 to 12, the first andsecond TX antenna arrays to comprise steerable phased antenna arrays.

Example 14 is the apparatus of any of Examples 1 to 13, the wirelesscommunication device to comprise a directional multi-gigabit (DMG)station (STA).

Example 15 is the apparatus of any of Examples 1 to 14, the wirelesscommunication device to operate as a personal basic service set controlpoint/access point (PCP/AP).

Example 16 is the apparatus of any of Examples 1 to 15, the MIMOtransmission to comprise a transmission via a 60 GHz frequency band MIMOlink.

Example 17 is a system, comprising an apparatus according to any ofExamples 1 to 16, and at least one radio frequency (RF) transceiver.

Example 18 is the system of Example 17, comprising at least oneprocessor.

Example 19 is the system of any of Examples 17 to 18, comprising atleast one RF antenna.

Example 20 is the system of any of Examples 17 to 19, comprising atouchscreen display.

Example 21 is an apparatus, comprising a memory, and logic, at least aportion of which is comprised in circuitry coupled to the memory, thelogic to identify a preferred single-input single-output (SISO) antennaarray weight vector (AWV) set for a wireless communication devicecomprising a first receive (RX) antenna array and a second RX antennaarray, and determine a preferred multiple-input multiple-output (MIMO)AWV pair for the wireless communication device based on the preferredSISO AWV set according to a MIMO AWV selection procedure, the preferredMIMO AWV pair to comprise a first MIMO AWV comprising an AWV forapplication to the first RX antenna array in conjunction with receptionof a MIMO transmission from a remote device and, a second MIMO AWVcomprising an AWV for application to the second RX antenna array inconjunction with reception of the MIMO transmission from the remotedevice.

Example 22 is the apparatus of Example 21, the preferred SISO AWV set tocomprise a preferred AWV w₁₁ with respect to SISO reception by the firstRX antenna array from a first transmit (TX) antenna array of the remotedevice, a preferred AWV w₂₁ with respect to SISO reception by the firstRX antenna array from a second TX antenna array of the remote device, apreferred AWV w₁₂ with respect to SISO reception by the second RXantenna array from the first TX antenna array of the remote device, anda preferred AWV w₂₂ with respect to SISO reception by the second RXantenna array from the second TX antenna array of the remote device.

Example 23 is the apparatus of Example 21, the MIMO AWV selectionprocedure to comprise selecting w₁₁ as the first MIMO AWV and w₂₂ as thesecond MIMO AWV, or selecting w₂₁ as the first MIMO AWV and w₁₂ as thesecond MIMO AWV.

Example 24 is the apparatus of any of Examples 21 to 22, the MIMO AWVselection procedure to comprise optimizing channel capacity forcommunications between the wireless communication device and the remotedevice according to an interference nulling technique.

Example 25 is the apparatus of any of Examples 21 to 22, the MIMO AWVselection procedure to comprise identifying a preferred channel betweenthe wireless communication device and the remote device, and iterativelymaximizing a capacity of a flat fading channel based on the preferredchannel.

Example 26 is the apparatus of any of Examples 21 to 25, the logic toidentify the preferred SISO AWV set by engaging in one or morebeamforming training procedures.

Example 27 is the apparatus of Example 26, the one or more beamformingtraining procedures to include one or more receive sector sweeps(RXSSs).

Example 28 is the apparatus of Example 27, the one or more beamformingtraining procedures to include an RXSS of the first RX antenna array andan RXSS of the second RX antenna array.

Example 29 is the apparatus of any of Examples 26 to 28, the one or morebeamforming training procedures to include one or more transmit sectorsweeps (TXSSs).

Example 30 is the apparatus of any of Examples 26 to 29, the one or morebeamforming training procedures to include one or more beam refinementphases (BRPs).

Example 31 is the apparatus of Example 30, at least one of the one ormore BRPs to comprise transmissions of a plurality of orthogonaltraining sequences.

Example 32 is the apparatus of any of Examples 30 to 31, at least one ofthe one or more BRPs to comprise transmission of a BRP feedback framecomprising feedback for multiple TX training sequences.

Example 33 is the apparatus of any of Examples 21 to 32, the first andsecond RX antenna arrays to comprise steerable phased antenna arrays.

Example 34 is the apparatus of any of Examples 21 to 33, the wirelesscommunication device to comprise a directional multi-gigabit (DMG)station (STA).

Example 35 is the apparatus of any of Examples 21 to 34, the wirelesscommunication device to operate as a personal basic service set controlpoint/access point (PCP/AP).

Example 36 is the apparatus of any of Examples 21 to 35, the MIMOtransmission to be received via a 60 GHz frequency band MIMO link.

Example 37 is a system, comprising an apparatus according to any ofExamples 21 to 36, and at least one radio frequency (RF) transceiver.

Example 38 is the system of Example 37, comprising at least oneprocessor.

Example 39 is the system of any of Examples 37 to 38, comprising atleast one RF antenna.

Example 40 is the system of any of Examples 37 to 39, comprising atouchscreen display.

Example 41 is at least one computer-readable storage medium comprising aset of instructions that, in response to being executed on a computingdevice, cause the computing device to identify a preferred single-inputsingle-output (SISO) antenna array weight vector (AWV) set for awireless communication device comprising a first transmit (TX) antennaarray and a second TX antenna array, and determine a preferredmultiple-input multiple-output (MIMO) AWV pair for the wirelesscommunication device based on the preferred SISO AWV set according to aMIMO AWV selection procedure, the preferred MIMO AWV pair to comprise afirst MIMO AWV comprising an AWV for application to the first TX antennaarray in conjunction with a MIMO transmission to a remote device and, asecond MIMO AWV comprising an AWV for application to the second TXantenna array in conjunction with the MIMO transmission to the remotedevice.

Example 42 is the at least one computer-readable storage medium ofExample 41, the preferred SISO AWV set to comprise a preferred AWV v₁₁with respect to SISO transmission by the first TX antenna array to afirst receive (RX) antenna array of the remote device, a preferred AWVv₁₂ with respect to SISO transmission by the first TX antenna array to asecond RX antenna array of the remote device, a preferred AWV v₂₁ withrespect to SISO transmission by the second TX antenna array to the firstRX antenna array of the remote device, and a preferred AWV v₂₂ withrespect to SISO transmission by the second TX antenna array to thesecond RX antenna array of the remote device.

Example 43 is the at least one computer-readable storage medium ofExample 42, the MIMO AWV selection procedure to comprise selecting v₁₁as the first MIMO AWV and v₂₂ as the second MIMO AWV, or selecting vu asthe first MIMO AWV and v₂₁ as the second MIMO AWV.

Example 44 is the at least one computer-readable storage medium of anyof Examples 41 to 42, the MIMO AWV selection procedure to compriseoptimizing channel capacity for communications between the wirelesscommunication device and the remote device according to an interferencenulling technique.

Example 45 is the at least one computer-readable storage medium of anyof Examples 41 to 42, the MIMO AWV selection procedure to compriseidentifying a preferred channel between the wireless communicationdevice and the remote device, and iteratively maximizing a capacity of aflat fading channel based on the preferred channel.

Example 46 is the at least one computer-readable storage medium of anyof Examples 41 to 45, comprising instructions that, in response to beingexecuted on the computing device, cause the computing device to identifythe preferred SISO AWV set by engaging in one or more beamformingtraining procedures.

Example 47 is the at least one computer-readable storage medium ofExample 46, the one or more beamforming training procedures to includeone or more transmit sector sweeps (TXSSs).

Example 48 is the at least one computer-readable storage medium ofExample 47, the one or more beamforming training procedures to include aTXSS of the first TX antenna array and a TXSS of the second TX antennaarray.

Example 49 is the at least one computer-readable storage medium of anyof Examples 46 to 48, the one or more beamforming training procedures toinclude one or more receive sector sweeps (RXSSs).

Example 50 is the at least one computer-readable storage medium of anyof Examples 46 to 49, the one or more beamforming training procedures toinclude one or more beam refinement phases (BRPs).

Example 51 is the at least one computer-readable storage medium ofExample 50, at least one of the one or more BRPs to comprisetransmissions of a plurality of orthogonal training sequences.

Example 52 is the at least one computer-readable storage medium of anyof Examples 50 to 51, at least one of the one or more BRPs to comprisetransmission of a BRP feedback frame comprising feedback for multiple TXtraining sequences.

Example 53 is the at least one computer-readable storage medium of anyof Examples 41 to 52, the first and second TX antenna arrays to comprisesteerable phased antenna arrays.

Example 54 is the at least one computer-readable storage medium of anyof Examples 41 to 53, the wireless communication device to comprise adirectional multi-gigabit (DMG) station (STA).

Example 55 is the at least one computer-readable storage medium of anyof Examples 41 to 54, the wireless communication device to operate as apersonal basic service set control point/access point (PCP/AP).

Example 56 is the at least one computer-readable storage medium of anyof Examples 41 to 55, the MIMO transmission to comprise a transmissionvia a 60 GHz frequency band MIMO link.

Example 57 is at least one computer-readable storage medium comprising aset of instructions that, in response to being executed on a computingdevice, cause the computing device to identify a preferred single-inputsingle-output (SISO) antenna array weight vector (AWV) set for awireless communication device comprising a first receive (RX) antennaarray and a second RX antenna array, and determine a preferredmultiple-input multiple-output (MIMO) AWV pair for the wirelesscommunication device based on the preferred SISO AWV set according to aMIMO AWV selection procedure, the preferred MIMO AWV pair to comprise afirst MIMO AWV comprising an AWV for application to the first RX antennaarray in conjunction with reception of a MIMO transmission from a remotedevice and, a second MIMO AWV comprising an AWV for application to thesecond RX antenna array in conjunction with reception of the MIMOtransmission from the remote device.

Example 58 is the at least one computer-readable storage medium ofExample 57, the preferred SISO AWV set to comprise a preferred AWV w₁₁with respect to SISO reception by the first RX antenna array from afirst transmit (TX) antenna array of the remote device, a preferred AWVw₂₁ with respect to SISO reception by the first RX antenna array from asecond TX antenna array of the remote device, a preferred AWV w₁₂ withrespect to SISO reception by the second RX antenna array from the firstTX antenna array of the remote device, and a preferred AWV w₂₂ withrespect to SISO reception by the second RX antenna array from the secondTX antenna array of the remote device.

Example 59 is the at least one computer-readable storage medium ofExample 58, the MIMO AWV selection procedure to comprise selecting w₁₁as the first MIMO AWV and w₂₂ as the second MIMO AWV, or selecting w₂₁as the first MIMO AWV and w₁₂ as the second MIMO AWV.

Example 60 is the at least one computer-readable storage medium of anyof Examples 57 to 58, the MIMO AWV selection procedure to compriseoptimizing channel capacity for communications between the wirelesscommunication device and the remote device according to an interferencenulling technique.

Example 61 is the at least one computer-readable storage medium of anyof Examples 57 to 58, the MIMO AWV selection procedure to compriseidentifying a preferred channel between the wireless communicationdevice and the remote device, and iteratively maximizing a capacity of aflat fading channel based on the preferred channel.

Example 62 is the at least one computer-readable storage medium of anyof Examples 57 to 61, comprising instructions that, in response to beingexecuted on the computing device, cause the computing device to identifythe preferred SISO AWV set by engaging in one or more beamformingtraining procedures.

Example 63 is the at least one computer-readable storage medium ofExample 62, the one or more beamforming training procedures to includeone or more receive sector sweeps (RXSSs).

Example 64 is the at least one computer-readable storage medium ofExample 63, the one or more beamforming training procedures to includean RXSS of the first RX antenna array and an RXSS of the second RXantenna array.

Example 65 is the at least one computer-readable storage medium of anyof Examples 62 to 64, the one or more beamforming training procedures toinclude one or more transmit sector sweeps (TXSS s).

Example 66 is the at least one computer-readable storage medium of anyof Examples 62 to 65, the one or more beamforming training procedures toinclude one or more beam refinement phases (BRPs).

Example 67 is the at least one computer-readable storage medium ofExample 66, at least one of the one or more BRPs to comprisetransmissions of a plurality of orthogonal training sequences.

Example 68 is the at least one computer-readable storage medium of anyof Examples 66 to 67, at least one of the one or more BRPs to comprisetransmission of a BRP feedback frame comprising feedback for multiple TXtraining sequences.

Example 69 is the at least one computer-readable storage medium of anyof Examples 57 to 68, the first and second RX antenna arrays to comprisesteerable phased antenna arrays.

Example 70 is the at least one computer-readable storage medium of anyof Examples 57 to 69, the wireless communication device to comprise adirectional multi-gigabit (DMG) station (STA).

Example 71 is the at least one computer-readable storage medium of anyof Examples 57 to 70, the wireless communication device to operate as apersonal basic service set control point/access point (PCP/AP).

Example 72 is the at least one computer-readable storage medium of anyof Examples 57 to 71, the MIMO transmission to be received via a 60 GHzfrequency band MIMO link.

Example 73 is a method, comprising identifying a preferred single-inputsingle-output (SISO) antenna array weight vector (AWV) set for awireless communication device comprising a first transmit (TX) antennaarray and a second TX antenna array, and determining, by circuitry ofthe wireless communication device, a preferred multiple-inputmultiple-output (MIMO) AWV pair for the wireless communication devicebased on the preferred SISO AWV set according to a MIMO AWV selectionprocedure, the preferred MIMO AWV pair to comprise a first MIMO AWVcomprising an AWV for application to the first TX antenna array inconjunction with a MIMO transmission to a remote device and, a secondMIMO AWV comprising an AWV for application to the second TX antennaarray in conjunction with the MIMO transmission to the remote device.

Example 74 is the method of Example 73, the preferred SISO AWV set tocomprise a preferred AWV v₁₁ with respect to SISO transmission by thefirst TX antenna array to a first receive (RX) antenna array of theremote device, a preferred AWV v₁₂ with respect to SISO transmission bythe first TX antenna array to a second RX antenna array of the remotedevice, a preferred AWV v₂₁ with respect to SISO transmission by thesecond TX antenna array to the first RX antenna array of the remotedevice, and a preferred AWV v₂₂ with respect to SISO transmission by thesecond TX antenna array to the second RX antenna array of the remotedevice.

Example 75 is the method of Example 74, the MIMO AWV selection procedureto comprise selecting v₁₁ as the first MIMO AWV and v₂₂ as the secondMIMO AWV, or selecting v₁₂ as the first MIMO AWV and v₂₁ as the secondMIMO AWV.

Example 76 is the method of any of Examples 73 to 74, the MIMO AWVselection procedure to comprise optimizing channel capacity forcommunications between the wireless communication device and the remotedevice according to an interference nulling technique.

Example 77 is the method of any of Examples 73 to 74, the MIMO AWVselection procedure to comprise identifying a preferred channel betweenthe wireless communication device and the remote device, and iterativelymaximizing a capacity of a flat fading channel based on the preferredchannel.

Example 78 is the method of any of Examples 73 to 77, comprisingidentifying the preferred SISO AWV set by engaging in one or morebeamforming training procedures.

Example 79 is the method of Example 78, the one or more beamformingtraining procedures to include one or more transmit sector sweeps(TXSSs).

Example 80 is the method of Example 79, the one or more beamformingtraining procedures to include a TXSS of the first TX antenna array anda TXSS of the second TX antenna array.

Example 81 is the method of any of Examples 78 to 80, the one or morebeamforming training procedures to include one or more receive sectorsweeps (RXSSs).

Example 82 is the method of any of Examples 78 to 81, the one or morebeamforming training procedures to include one or more beam refinementphases (BRPs).

Example 83 is the method of Example 82, at least one of the one or moreBRPs to comprise transmissions of a plurality of orthogonal trainingsequences.

Example 84 is the method of any of Examples 82 to 83, at least one ofthe one or more BRPs to comprise transmission of a BRP feedback framecomprising feedback for multiple TX training sequences.

Example 85 is the method of any of Examples 73 to 84, the first andsecond TX antenna arrays to comprise steerable phased antenna arrays.

Example 86 is the method of any of Examples 73 to 85, the wirelesscommunication device to comprise a directional multi-gigabit (DMG)station (STA).

Example 87 is the method of any of Examples 73 to 86, the wirelesscommunication device to operate as a personal basic service set controlpoint/access point (PCP/AP).

Example 88 is the method of any of Examples 73 to 87, the MIMOtransmission to comprise a transmission via a 60 GHz frequency band MIMOlink.

Example 89 is at least one computer-readable storage medium comprising aset of instructions that, in response to being executed on a computingdevice, cause the computing device to perform a method according to anyof Examples 73 to 88.

Example 90 is an apparatus, comprising means for performing a methodaccording to any of Examples 73 to 88.

Example 91 is a system, comprising the apparatus of Example 90, and atleast one radio frequency (RF) transceiver.

Example 92 is the system of Example 91, comprising at least oneprocessor.

Example 93 is the system of any of Examples 91 to 92, comprising atleast one RF antenna.

Example 94 is the system of any of Examples 91 to 93, comprising atouchscreen display.

Example 95 is a method, comprising identifying a preferred single-inputsingle-output (SISO) antenna array weight vector (AWV) set for awireless communication device comprising a first receive (RX) antennaarray and a second RX antenna array, and determining, by circuitry ofthe wireless communication device, a preferred multiple-inputmultiple-output (MIMO) AWV pair for the wireless communication devicebased on the preferred SISO AWV set according to a MIMO AWV selectionprocedure, the preferred MIMO AWV pair to comprise a first MIMO AWVcomprising an AWV for application to the first RX antenna array inconjunction with reception of a MIMO transmission from a remote deviceand, a second MIMO AWV comprising an AWV for application to the secondRX antenna array in conjunction with reception of the MIMO transmissionfrom the remote device.

Example 96 is the method of Example 95, the preferred SISO AWV set tocomprise a preferred AWV w₁₁ with respect to SISO reception by the firstRX antenna array from a first transmit (TX) antenna array of the remotedevice, a preferred AWV w₂₁ with respect to SISO reception by the firstRX antenna array from a second TX antenna array of the remote device, apreferred AWV w₁₂ with respect to SISO reception by the second RXantenna array from the first TX antenna array of the remote device, anda preferred AWV w₂₂ with respect to SISO reception by the second RXantenna array from the second TX antenna array of the remote device.

Example 97 is the method of Example 96, the MIMO AWV selection procedureto comprise selecting w₁₁ as the first MIMO AWV and w₂₂ as the secondMIMO AWV, or selecting w₂₁ as the first MIMO AWV and w₁₂ as the secondMIMO AWV.

Example 98 is the method of any of Examples 95 to 96, the MIMO AWVselection procedure to comprise optimizing channel capacity forcommunications between the wireless communication device and the remotedevice according to an interference nulling technique.

Example 99 is the method of any of Examples 95 to 96, the MIMO AWVselection procedure to comprise identifying a preferred channel betweenthe wireless communication device and the remote device, and iterativelymaximizing a capacity of a flat fading channel based on the preferredchannel.

Example 100 is the method of any of Examples 95 to 99, comprisingidentifying the preferred SISO AWV set by engaging in one or morebeamforming training procedures.

Example 101 is the method of Example 100, the one or more beamformingtraining procedures to include one or more receive sector sweeps(RXSSs).

Example 102 is the method of Example 101, the one or more beamformingtraining procedures to include an RXSS of the first RX antenna array andan RXSS of the second RX antenna array.

Example 103 is the method of any of Examples 100 to 102, the one or morebeamforming training procedures to include one or more transmit sectorsweeps (TXSSs).

Example 104 is the method of any of Examples 100 to 103, the one or morebeamforming training procedures to include one or more beam refinementphases (BRPs).

Example 105 is the method of Example 104, at least one of the one ormore BRPs to comprise transmissions of a plurality of orthogonaltraining sequences.

Example 106 is the method of any of Examples 104 to 105, at least one ofthe one or more BRPs to comprise transmission of a BRP feedback framecomprising feedback for multiple TX training sequences.

Example 107 is the method of any of Examples 95 to 106, the first andsecond RX antenna arrays to comprise steerable phased antenna arrays.

Example 108 is the method of any of Examples 95 to 107, the wirelesscommunication device to comprise a directional multi-gigabit (DMG)station (STA).

Example 109 is the method of any of Examples 95 to 108, the wirelesscommunication device to operate as a personal basic service set controlpoint/access point (PCP/AP).

Example 110 is the method of any of Examples 95 to 109, the MIMOtransmission to be received via a 60 GHz frequency band MIMO link.

Example 111 is at least one computer-readable storage medium comprisinga set of instructions that, in response to being executed on a computingdevice, cause the computing device to perform a method according to anyof Examples 95 to 110.

Example 112 is an apparatus, comprising means for performing a methodaccording to any of Examples 95 to 110.

Example 113 is a system, comprising the apparatus of Example 112, and atleast one radio frequency (RF) transceiver.

Example 114 is the system of Example 113, comprising at least oneprocessor.

Example 115 is the system of any of Examples 113 to 114, comprising atleast one RF antenna.

Example 116 is the system of any of Examples 113 to 115, comprising atouchscreen display.

Example 117 is an apparatus, comprising means for identifying apreferred single-input single-output (SISO) antenna array weight vector(AWV) set for a wireless communication device comprising a firsttransmit (TX) antenna array and a second TX antenna array, and means fordetermining a preferred multiple-input multiple-output (MIMO) AWV pairfor the wireless communication device based on the preferred SISO AWVset according to a MIMO AWV selection procedure, the preferred MIMO AWVpair to comprise a first MIMO AWV comprising an AWV for application tothe first TX antenna array in conjunction with a MIMO transmission to aremote device and, a second MIMO AWV comprising an AWV for applicationto the second TX antenna array in conjunction with the MIMO transmissionto the remote device.

Example 118 is the apparatus of Example 117, the preferred SISO AWV setto comprise a preferred AWV v₁₁ with respect to SISO transmission by thefirst TX antenna array to a first receive (RX) antenna array of theremote device, a preferred AWV v₁₂ with respect to SISO transmission bythe first TX antenna array to a second RX antenna array of the remotedevice, a preferred AWV v₂₁ with respect to SISO transmission by thesecond TX antenna array to the first RX antenna array of the remotedevice, and a preferred AWV v₂₂ with respect to SISO transmission by thesecond TX antenna array to the second RX antenna array of the remotedevice.

Example 119 is the apparatus of Example 118, the MIMO AWV selectionprocedure to comprise selecting v₁₁ as the first MIMO AWV and v₂₂ as thesecond MIMO AWV, or selecting v₁₂ as the first MIMO AWV and v₂₁ as thesecond MIMO AWV.

Example 120 is the apparatus of any of Examples 117 to 118, the MIMO AWVselection procedure to comprise optimizing channel capacity forcommunications between the wireless communication device and the remotedevice according to an interference nulling technique.

Example 121 is the apparatus of any of Examples 117 to 118, the MIMO AWVselection procedure to comprise identifying a preferred channel betweenthe wireless communication device and the remote device, and iterativelymaximizing a capacity of a flat fading channel based on the preferredchannel.

Example 122 is the apparatus of any of Examples 117 to 121, comprisingmeans for identifying the preferred SISO AWV set by engaging in one ormore beamforming training procedures.

Example 123 is the apparatus of Example 122, the one or more beamformingtraining procedures to include one or more transmit sector sweeps(TXSSs).

Example 124 is the apparatus of Example 123, the one or more beamformingtraining procedures to include a TXSS of the first TX antenna array anda TXSS of the second TX antenna array.

Example 125 is the apparatus of any of Examples 122 to 124, the one ormore beamforming training procedures to include one or more receivesector sweeps (RXSSs).

Example 126 is the apparatus of any of Examples 122 to 125, the one ormore beamforming training procedures to include one or more beamrefinement phases (BRPs).

Example 127 is the apparatus of Example 126, at least one of the one ormore BRPs to comprise transmissions of a plurality of orthogonaltraining sequences.

Example 128 is the apparatus of any of Examples 126 to 127, at least oneof the one or more BRPs to comprise transmission of a BRP feedback framecomprising feedback for multiple TX training sequences.

Example 129 is the apparatus of any of Examples 117 to 128, the firstand second TX antenna arrays to comprise steerable phased antennaarrays.

Example 130 is the apparatus of any of Examples 117 to 129, the wirelesscommunication device to comprise a directional multi-gigabit (DMG)station (STA).

Example 131 is the apparatus of any of Examples 117 to 130, the wirelesscommunication device to operate as a personal basic service set controlpoint/access point (PCP/AP).

Example 132 is the apparatus of any of Examples 117 to 131, the MIMOtransmission to comprise a transmission via a 60 GHz frequency band MIMOlink.

Example 133 is a system, comprising an apparatus according to any ofExamples 117 to 132, and at least one radio frequency (RF) transceiver.

Example 134 is the system of Example 133, comprising at least oneprocessor.

Example 135 is the system of any of Examples 133 to 134, comprising atleast one RF antenna.

Example 136 is the system of any of Examples 133 to 134, comprising atouchscreen display.

Example 137 is an apparatus, comprising means for identifying apreferred single-input single-output (SISO) antenna array weight vector(AWV) set for a wireless communication device comprising a first receive(RX) antenna array and a second RX antenna array, and means fordetermining a preferred multiple-input multiple-output (MIMO) AWV pairfor the wireless communication device based on the preferred SISO AWVset according to a MIMO AWV selection procedure, the preferred MIMO AWVpair to comprise a first MIMO AWV comprising an AWV for application tothe first RX antenna array in conjunction with reception of a MIMOtransmission from a remote device and, a second MIMO AWV comprising anAWV for application to the second RX antenna array in conjunction withreception of the MIMO transmission from the remote device.

Example 138 is the apparatus of Example 137, the preferred SISO AWV setto comprise a preferred AWV w₁₁ with respect to SISO reception by thefirst RX antenna array from a first transmit (TX) antenna array of theremote device, a preferred AWV w₂₁ with respect to SISO reception by thefirst RX antenna array from a second TX antenna array of the remotedevice, a preferred AWV w₁₂ with respect to SISO reception by the secondRX antenna array from the first TX antenna array of the remote device,and a preferred AWV w₂₂ with respect to SISO reception by the second RXantenna array from the second TX antenna array of the remote device.

Example 139 is the apparatus of Example 138, the MIMO AWV selectionprocedure to comprise selecting w₁₁ as the first MIMO AWV and w₂₂ as thesecond MIMO AWV, or selecting w₂₁ as the first MIMO AWV and w₁₂ as thesecond MIMO AWV.

Example 140 is the apparatus of any of Examples 137 to 138, the MIMO AWVselection procedure to comprise optimizing channel capacity forcommunications between the wireless communication device and the remotedevice according to an interference nulling technique.

Example 141 is the apparatus of any of Examples 137 to 138, the MIMO AWVselection procedure to comprise identifying a preferred channel betweenthe wireless communication device and the remote device, and iterativelymaximizing a capacity of a flat fading channel based on the preferredchannel.

Example 142 is the apparatus of any of Examples 137 to 141, comprisingmeans for identifying the preferred SISO AWV set by engaging in one ormore beamforming training procedures.

Example 143 is the apparatus of Example 142, the one or more beamformingtraining procedures to include one or more receive sector sweeps(RXSSs).

Example 144 is the apparatus of Example 143, the one or more beamformingtraining procedures to include an RXSS of the first RX antenna array andan RXSS of the second RX antenna array.

Example 145 is the apparatus of any of Examples 142 to 144, the one ormore beamforming training procedures to include one or more transmitsector sweeps (TXSSs).

Example 146 is the apparatus of any of Examples 142 to 145, the one ormore beamforming training procedures to include one or more beamrefinement phases (BRPs).

Example 147 is the apparatus of Example 146, at least one of the one ormore BRPs to comprise transmissions of a plurality of orthogonaltraining sequences.

Example 148 is the apparatus of any of Examples 146 to 147, at least oneof the one or more BRPs to comprise transmission of a BRP feedback framecomprising feedback for multiple TX training sequences.

Example 149 is the apparatus of any of Examples 137 to 148, the firstand second RX antenna arrays to comprise steerable phased antennaarrays.

Example 150 is the apparatus of any of Examples 137 to 149, the wirelesscommunication device to comprise a directional multi-gigabit (DMG)station (STA).

Example 151 is the apparatus of any of Examples 137 to 150, the wirelesscommunication device to operate as a personal basic service set controlpoint/access point (PCP/AP).

Example 152 is the apparatus of any of Examples 137 to 151, the MIMOtransmission to be received via a 60 GHz frequency band MIMO link.

Example 153 is a system, comprising an apparatus according to any ofExamples 137 to 152, and at least one radio frequency (RF) transceiver.

Example 154 is the system of Example 153, comprising at least oneprocessor.

Example 155 is the system of any of Examples 153 to 154, comprising atleast one RF antenna.

Example 156 is the system of any of Examples 153 to 155, comprising atouchscreen display.

Numerous specific details have been set forth herein to provide athorough understanding of the embodiments. It will be understood bythose skilled in the art, however, that the embodiments may be practicedwithout these specific details. In other instances, well-knownoperations, components, and circuits have not been described in detailso as not to obscure the embodiments. It can be appreciated that thespecific structural and functional details disclosed herein may berepresentative and do not necessarily limit the scope of theembodiments.

Some embodiments may be described using the expression “coupled” and“connected” along with their derivatives. These terms are not intendedas synonyms for each other. For example, some embodiments may bedescribed using the terms “connected” and/or “coupled” to indicate thattwo or more elements are in direct physical or electrical contact witheach other. The term “coupled,” however, may also mean that two or moreelements are not in direct contact with each other, but yet stillco-operate or interact with each other.

Unless specifically stated otherwise, it may be appreciated that termssuch as “processing,” “computing,” “calculating,” “determining,” or thelike, refer to the action and/or processes of a computer or computingsystem, or similar electronic computing device, that manipulates and/ortransforms data represented as physical quantities (e.g., electronic)within the computing system's registers and/or memories into other datasimilarly represented as physical quantities within the computingsystem's memories, registers or other such information storage,transmission or display devices. The embodiments are not limited in thiscontext.

It should be noted that the methods described herein do not have to beexecuted in the order described, or in any particular order. Moreover,various activities described with respect to the methods identifiedherein can be executed in serial or parallel fashion.

Although specific embodiments have been illustrated and describedherein, it should be appreciated that any arrangement calculated toachieve the same purpose may be substituted for the specific embodimentsshown. This disclosure is intended to cover any and all adaptations orvariations of various embodiments. It is to be understood that the abovedescription has been made in an illustrative fashion, and not arestrictive one. Combinations of the above embodiments, and otherembodiments not specifically described herein will be apparent to thoseof skill in the art upon reviewing the above description. Thus, thescope of various embodiments includes any other applications in whichthe above compositions, structures, and methods are used.

It is emphasized that the Abstract of the Disclosure is provided tocomply with 37 C.F.R. § 1.72(b), requiring an abstract that will allowthe reader to quickly ascertain the nature of the technical disclosure.It is submitted with the understanding that it will not be used tointerpret or limit the scope or meaning of the claims. In addition, inthe foregoing Detailed Description, it can be seen that various featuresare grouped together in a single embodiment for the purpose ofstreamlining the disclosure. This method of disclosure is not to beinterpreted as reflecting an intention that the claimed embodimentsrequire more features than are expressly recited in each claim. Rather,as the following claims reflect, inventive subject matter lies in lessthan all features of a single disclosed embodiment. Thus the followingclaims are hereby incorporated into the Detailed Description, with eachclaim standing on its own as a separate preferred embodiment. In theappended claims, the terms “including” and “in which” are used as theplain-English equivalents of the respective terms “comprising” and“wherein,” respectively. Moreover, the terms “first,” “second,” and“third,” etc. are used merely as labels, and are not intended to imposenumerical requirements on their objects.

Although the subject matter has been described in language specific tostructural features and/or methodological acts, it is to be understoodthat the subject matter defined in the appended claims is notnecessarily limited to the specific features or acts described above.Rather, the specific features and acts described above are disclosed asexample forms of implementing the claims.

What is claimed is:
 1. An apparatus, comprising: a memory; and logic, atleast a portion of which is comprised in circuitry coupled to thememory, the logic to: identify a preferred single-input single-output(SISO) antenna array weight vector (AWV) set for a wirelesscommunication device comprising a first transmit (TX) antenna array anda second TX antenna array, the preferred SISO AWV set to comprise: apreferred AWV v₁₁ with respect to SISO transmission by the first TXantenna array to a first receive (RX) antenna array of the remotedevice; a preferred AWV v₁₂ with respect to SISO transmission by thefirst TX antenna array to a second RX antenna array of the remotedevice; a preferred AWV v₂₁ with respect to SISO transmission by thesecond TX antenna array to the first RX antenna array of the remotedevice; and a preferred AWV v₂₂ with respect to SISO transmission by thesecond TX antenna array to the second RX antenna array of the remotedevice; and determine a preferred multiple-input multiple-output (MIMO)AWV pair for the wireless communication device based on the preferredSISO AWV set according to a MIMO AWV selection procedure, the preferredMIMO AWV pair to comprise: a first MIMO AWV comprising an AWV forapplication to the first TX antenna array in conjunction with a MIMOtransmission to a remote device and; a second MIMO AWV comprising an AWVfor application to the second TX antenna array in conjunction with theMIMO transmission to the remote device.
 2. The apparatus of claim 1, theMIMO AWV selection procedure to comprise: selecting v₁₁ as the firstMIMO AWV and v₂₂ as the second MIMO AWV; or selecting v₁₂ as the firstMIMO AWV and v₂₁ as the second MIMO AWV.
 3. The apparatus of claim 1,the MIMO AWV selection procedure to comprise optimizing channel capacityfor communications between the wireless communication device and theremote device according to an interference nulling technique.
 4. Theapparatus of claim 1, the MIMO AWV selection procedure to comprise:identifying a preferred channel between the wireless communicationdevice and the remote device; and iteratively maximizing a capacity of aflat fading channel based on the preferred channel.
 5. The apparatus ofclaim 1, the logic to identify the preferred SISO AWV set by engaging inone or more beamforming training procedures.
 6. A system, comprising:the apparatus of claim 1; and at least one radio frequency (RF)transceiver.
 7. At least one non-transitory computer-readable storagemedium comprising a set of instructions that, in response to beingexecuted on a computing device, cause the computing device to: identifya preferred single-input single-output (SISO) antenna array weightvector (AWV) set for a wireless communication device comprising a firsttransmit (TX) antenna array and a second TX antenna array, the preferredSISO AWV set to comprise: a preferred AWV v₁₁ with respect to SISOtransmission by the first TX antenna array to a first receive (RX)antenna array of the remote device; a preferred AWV v₁₂ with respect toSISO transmission by the first TX antenna array to a second RX antennaarray of the remote device; a preferred AWV v₂₁ with respect to SISOtransmission by the second TX antenna array to the first RX antennaarray of the remote device; and a preferred AWV v₂₂ with respect to SISOtransmission by the second TX antenna array to the second RX antennaarray of the remote device; and determine a preferred multiple-inputmultiple-output (MIMO) AWV pair for the wireless communication devicebased on the preferred SISO AWV set according to a MIMO AWV selectionprocedure, the preferred MIMO AWV pair to comprise: a first MIMO AWVcomprising an AWV for application to the first TX antenna array inconjunction with a MIMO transmission to a remote device and; a secondMIMO AWV comprising an AWV for application to the second TX antennaarray in conjunction with the MIMO transmission to the remote device. 8.The at least one non-transitory computer-readable storage medium ofclaim 7, the MIMO AWV selection procedure to comprise: selecting v₁₁ asthe first MIMO AWV and v₂₂ as the second MIMO AWV; or selecting v₁₂ asthe first MIMO AWV and v₂₁ as the second MIMO AWV.
 9. The at least onenon-transitory computer-readable storage medium of claim 7, the MIMO AWVselection procedure to comprise optimizing channel capacity forcommunications between the wireless communication device and the remotedevice according to an interference nulling technique.
 10. The at leastone non-transitory computer-readable storage medium of claim 7, the MIMOAWV selection procedure to comprise: identifying a preferred channelbetween the wireless communication device and the remote device; anditeratively maximizing a capacity of a flat fading channel based on thepreferred channel.
 11. The at least one non-transitory computer-readablestorage medium of claim 7, comprising instructions that, in response tobeing executed on the computing device, cause the computing device toidentify the preferred SISO AWV set by engaging in one or morebeamforming training procedures.